On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential
In this work, we consider the numerical solution of the nonlinear Schrödinger equation with a
highly oscillatory potential (NLSE-OP). The NLSE-OP is a model problem which frequently …
highly oscillatory potential (NLSE-OP). The NLSE-OP is a model problem which frequently …
Uniformly accurate nested Picard iterative schemes for nonlinear Schrödinger equation with highly oscillatory potential
J Li - Applied Numerical Mathematics, 2023 - Elsevier
The nonlinear Schrödinger equation with a highly oscillatory potential (NLSE-OP) often
appears in many multiscale dynamical systems, where the temporal oscillation causes the …
appears in many multiscale dynamical systems, where the temporal oscillation causes the …
Analysis of two conservative fourth-order compact finite difference schemes for the Klein-Gordon-Zakharov system in the subsonic limit regime
J Li, L Zhao - Applied Mathematics and Computation, 2024 - Elsevier
We propose two conservative fourth-order compact finite difference (CFD4C) schemes and
give the rigorous error analysis for the Klein-Gordon-Zakharov system (KGZS) with ε∈(0, 1] …
give the rigorous error analysis for the Klein-Gordon-Zakharov system (KGZS) with ε∈(0, 1] …
A uniformly first-order accurate method for Klein-Gordon-Zakharov system in simultaneous high-plasma-frequency and subsonic limit regime
We present a uniformly first order accurate numerical method for solving the Klein-Gordon-
Zakharov (KGZ) system with two dimensionless parameters 0< ε≤ 1 and 0< γ≤ 1, which are …
Zakharov (KGZ) system with two dimensionless parameters 0< ε≤ 1 and 0< γ≤ 1, which are …
Uniform error bound of a conservative fourth-order compact finite difference scheme for the Zakharov system in the subsonic regime
T Zhang, T Wang - Advances in Computational Mathematics, 2022 - Springer
We present rigorous analysis on the error bound and conservation laws of a fourth-order
compact finite difference scheme for Zakharov system (ZS) with a dimensionless parameter …
compact finite difference scheme for Zakharov system (ZS) with a dimensionless parameter …
Energy-Preserving AVF Methods for Riesz Space-Fractional Nonlinear KGZ and KGS Equations
J Sun, S Yang, L Zhang - Fractal and Fractional, 2023 - mdpi.com
The Riesz space-fractional derivative is discretized by the Fourier pseudo-spectral (FPS)
method. The Riesz space-fractional nonlinear Klein–Gordon–Zakharov (KGZ) and Klein …
method. The Riesz space-fractional nonlinear Klein–Gordon–Zakharov (KGZ) and Klein …
Analysis of fractional Klein–Gordon–Zakharov equations using efficient method
FB Benli - Numerical Methods for Partial Differential Equations, 2022 - Wiley Online Library
In the present framework, the q‐homotopy analysis transform method (q‐HATM) we find the
solution for the equation describing the interaction between Langmuir waves and the ion …
solution for the equation describing the interaction between Langmuir waves and the ion …
[PDF][PDF] Riesz 空间分数阶KleinGGordonGZakharov 方程的保能量格式
刘莹， 孙建强， 孔嘉萌 - 山东科技大学学报(自然科学版), 2022 - xuebao.sdust.edu.cn
Riesz空间分数阶KleinGGordonGZakharov 方程的保能量格式 Page 1 第41卷第6期 2022年12月
山东科技大学学报(自然科学版) JournalofShandongUniversityofScienceandTechnology(NaturalScience) …
山东科技大学学报(自然科学版) JournalofShandongUniversityofScienceandTechnology(NaturalScience) …
Error Bounds of Compact Finite Difference Methods for Some Dispersive PDEs and Applications
Z Teng - 2021 - search.proquest.com
The aim of this thesis is to propose and analyze some fourth-order compact finite difference
schemes (4cFDs) for approximating several highly oscillatory dispersive PDEs, including the …
schemes (4cFDs) for approximating several highly oscillatory dispersive PDEs, including the …